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Finding the Third Proportional to 101,039.63 and 220,069.69

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Solution

The third proportional to 101,039.63 and 220,069.69 is: 479,323.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,039.63 : 220,069.69 = 220,069.69 : x
  2. Step 2: Convert to fraction form
    101,039.63/220,069.69 = 220,069.69/x
  3. Step 3: Cross multiply
    101,039.63x = 220,069.69 × 220,069.69
  4. Step 4: Simplify right side
    101,039.63x = 48,430,667,356.35
  5. Step 5: Solve for x
    x = 48,430,667,356.35/101,039.63
  6. Step 6: Final answer
    x = 479,323.51

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.